2478383308800 has 1260 divisors, whose sum is σ = 10683540247050. Its totient is φ = 566301818880.

The previous prime is 2478383308799. The next prime is 2478383308853. The reversal of 2478383308800 is 88033838742.

It can be written as a sum of positive squares in 3 ways, for example, as 1302008795136 + 1176374513664 = 1141056^2 + 1084608^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×2478383308800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812849676 + ... + 812852724.

Almost surely, 2^{2478383308800} is an apocalyptic number.

2478383308800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478383308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341770123525).

2478383308800 is an abundant number, since it is smaller than the sum of its proper divisors (8205156938250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2478383308800 is an equidigital number, since it uses as much as digits as its factorization.

2478383308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2478383308800 in words is "two trillion, four hundred seventy-eight billion, three hundred eighty-three million, three hundred eight thousand, eight hundred".